Fill in the blanks. The stiffness of a coil spring is a function of ______ modulus, and the stiffness of a helical spring is a function of ______ modulus of the material 1. shear, elastic 2. elastic, shear 3. shear, shear 4. elastic, elastic
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The coiled spring has $n$ coils and is made from a material having a shear modulus $G$. Determine the stretch of the spring when it is subjected to the load $\mathbf{P}$. Assume that the coils are close to each other so that $\theta \approx 0^{\circ}$ and the deflection is caused entirely by the torsional stress in the coil.
The stiffness of a spring is 100 N/m. Find the elongation of the spring when a force of 50 N stresses the spring.
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The Spring Constant for a helical coil spring, theoretically follows: k = Gd^4 / (8D^3na) where d is the wire diameter, D is the mean diameter of the coil, na is the number of active coils and G is a material property called the shear modulus or modulus of rigidity (see Fig. 2). The shear modulus, G, depends on the spring material and is estimated using text or online sources such as MatWeb (www.matweb.com).
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